Abstract
The equations of quantum electrodynamics are investigated in an expanding universe characterized by a de Sitter metric. It is assumed that the expansion occurs on a microscopic level and that ħ, the bare electron mass and the bare charge are all constant. For a particular coordinate system the operators may be expressed in terms of coupled flat-space fields which havem replaced bymR(t). The equivalent quantized field problem is soluble using standard perturbation theory with modified commutators and Green’s functions. As a first approxmation, adiabatic changes caused by the expansion are evaluated by imaking the replacementm→mR in all final formulae. Renormalization effects are examined using asymptotic expressions which contain ultraviolet cut-offs. Assuming that the cutoff procedures are meaningful and are related to the structure of the physical electron, it is noted that the renormalized mass and charge could vary with time for a particular kind of cut-off process.
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